go up vs rise up

go up and rise up both are verbs.

Word	Noun	Adjective	Verb	Adverb
go up	No	No	Yes	No
rise up	No	No	Yes	No

As verbs, rise up is a hyponym of go up; that is, rise up is a word with a more specific, narrower meaning than go up:

Other hyponyms of go up include come up, rise, surface, uprise.

go up (verb)	rise up (verb)
increase in value or to a higher point	come to the surface
burn completely; be consumed or destroyed by fire	stand up on the hind legs, of quadrupeds
move upward	take part in a rebellion; renounce a former allegiance
go upward with gradual or continuous progress
be erected, built, or constructed
move towards
travel up